We consider the standard IEEE test cases `118', `1354pegase', and `9241pegase' available from MATPOWER [1]}.
Since the original data only provides a single vector of loads, we generate a load profile over multiple periods
as follows.
We first obtain hourly load data from New England ISO [2]} over a typical week (7 days) of operations.
We then use this \(T = 24\times 7 = 168\)  period profile as a multiplier for the load at each bus, downscaling if required to ensure single-period ACOPF feasibility.
Thus, the load distribution (across buses) in each period remains the same as the original MATPOWER case, and only the total load (across time periods) follows the imposed profile.
We consider fairly stringent ramp limits \(r_i \in [0.33\%, 0.50\%] \times p^{\max }_{i}\)  (per minute, which is the standard unit for this application class), where \(p^{\max }_{i}\)  is the maximum rated output of generator \(i\)  (note that \(\Delta _t = 60\)  min).
For each test case, the objective function is scaled by \(10^{-3}\)  (roughly \(T^{-1}\) ) to ensure \(\rho = O(1)\) .
All runs are initialized with \(x^0 = (\underline{x} + \overline{x})/2\) , \(z^0 = 0\) , \(\lambda ^0 = 0\)  and
unless mentioned otherwise, following parameter values are used in Algorithm REF :
\(\rho _0 = 10^{-3}, \kappa _x = 2\)  for case 118 and \(\rho _0 = 10^{-5}, \kappa _x = 2.5\)  otherwise,
and
\(\omega = 32\) ,
\(\kappa _z = 1/32\) ,
\(\zeta = 10^{-4}\) ,
\(\nu _x = 2\) ,
\(\nu _\rho = 2\) ,
\(\nu _\theta = 10\) ,
\(\chi = 10\) ,
\(\Psi = 100\) .
